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Finding the Fourth Proportional to 652.84, 977.84 and 378.66

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Solution

The fourth proportional to 652.84, 977.84 and 378.66 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.84 : 977.84 = 378.66 : x
  2. Step 2: Convert to fraction form
    652.84/977.84 = 378.66/x
  3. Step 3: Cross multiply
    652.84x = 977.84 × 378.66
  4. Step 4: Simplify right side
    652.84x = 370,268.89
  5. Step 5: Solve for x
    x = 370,268.89/652.84
  6. Step 6: Final answer
    x = 567.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.